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प्रश्न
State, 'true' or 'false'
If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.
पर्याय
True
False
उत्तर
False
Observe the above figure. The diagonals of the quadrilateral shown above bisect each other at right angles, however, the quadrilateral need not be a square, since the angles of the quadrilateral are clearly not right angles.
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संबंधित प्रश्न
Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). Show that
- It bisects ∠C also,
- ABCD is a rhombus
State, 'true' or 'false'
Each diagonal of a rhombus bisects it.
State, 'true' or 'false'
Every rhombus is a parallelogram.
In the given figure ABCD is a rhombus with angle A = 67°
If DEC is an equilateral triangle, calculate:
- ∠CBE
- ∠DBE
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*Question modified
In the figure, AE = BE. Prove that the area of triangle ACE is equal in area to the parallelogram ABCD.
The diagonals of a parallelogram ABCD intersect at O. A line through O meets AB in P and CD in Q. Show that
(a) Area of APQD = `(1)/(2)` area of || gm ABCD
(b) Area of APQD = Area of BPQC
In the given figure, BC ∥ DE.
(a) If area of ΔADC is 20 sq. units, find the area of ΔAEB.
(b) If the area of ΔBFD is 8 square units, find the area of ΔCEF
In a trapezium the parallel sides are 12cm and 8cm. If the distance between them is 6cm, find the area of the trapezium.
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Find the area of a square whose diagonal is `12sqrt(12)"cm"`
Find the perimeter of a rhombus whose diagonals are 24cm and 10cm.
All the sides of a rhombus are of equal length.
Give reasons for the following :
A square can be thought of as a special rhombus.
Give reason for the following :
Squares, rectangles, parallelograms are all quadrilaterals.
Examine whether the following is a polygon. If it is not, say why?
Name polygon.
Make two more examples of this.
